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Simplifying (3y2 + -4y) + -1(5y2 + -4y + 9) = 0 Reorder the terms: (-4y + 3y2) + -1(5y2 + -4y + 9) = 0 Remove parenthesis around (-4y + 3y2) -4y + 3y2 + -1(5y2 + -4y + 9) = 0 Reorder the terms: -4y + 3y2 + -1(9 + -4y + 5y2) = 0 -4y + 3y2 + (9 * -1 + -4y * -1 + 5y2 * -1) = 0 -4y + 3y2 + (-9 + 4y + -5y2) = 0 Reorder the terms: -9 + -4y + 4y + 3y2 + -5y2 = 0 Combine like terms: -4y + 4y = 0 -9 + 0 + 3y2 + -5y2 = 0 -9 + 3y2 + -5y2 = 0 Combine like terms: 3y2 + -5y2 = -2y2 -9 + -2y2 = 0 Solving -9 + -2y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2y2 = 0 + 9 -2y2 = 0 + 9 Combine like terms: 0 + 9 = 9 -2y2 = 9 Divide each side by '-2'. y2 = -4.5 Simplifying y2 = -4.5 Reorder the terms: 4.5 + y2 = -4.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 4.5 + y2 = 0.0 The solution to this equation could not be determined.
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